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Search: id:A051016
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| A051016 |
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Numbers n for which r^n-floor(r^n) < 1/2, where r is the real root of x^3-x-1. |
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+0
4
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| 1, 3, 4, 5, 6, 7, 8, 11, 12, 14, 17, 19, 22, 24, 25, 27, 29, 30, 32, 35, 37, 38, 40, 42, 43, 45, 48, 50, 53, 55, 56, 58, 60, 61, 63, 66, 68, 71, 73, 74, 76, 78, 79, 81, 84, 86, 89, 91, 92, 94, 97, 99, 102, 104, 105, 107, 109, 110, 112, 115, 117, 120, 122, 123, 125, 127
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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For large powers, r^n is very close to an integer.
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LINKS
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Eric Weisstein's World of Mathematics, Pisot Number
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MATHEMATICA
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Flatten[ With[ {r = Root[ -1 - #1 + #1^3 &, 1 ]}, Position[ Table[ r^n - Floor[ r^n ], {n, 1, 200} ], _?(#1 < 1/2 & ), 1 ] ] ]
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CROSSREFS
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Cf. A051017.
Adjacent sequences: A051013 A051014 A051015 this_sequence A051017 A051018 A051019
Sequence in context: A001272 A047563 A120561 this_sequence A044951 A138308 A039084
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KEYWORD
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nonn
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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EXTENSIONS
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Corrected by Don Reble (djr(AT)nk.ca), May 04 2006
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